Semigroup C*-Algebras

Li, X. (2016) Semigroup C*-Algebras. In: Abel Symposium 2015, Coastal Express (Hurtigruten), Norway, 07-11 Aug 2015, pp. 191-202. ISBN 9783319392844 (doi: 10.1007/978-3-319-39286-8_9)

Abstract

This is a survey article about recent developments in semigroup C*-algebras. These C*-algebras generated by left regular representations of semigroups have been studied for some time, but it was only recently that several new connections and results were discovered, triggered by particularly interesting examples from number theory and group theory. We explain the construction of semigroup C*-algebras, introduce the basic underlying algebraic objects, define two important conditions called Toeplitz condition and independence, and present results concerning amenability and nuclearity, K-theory, and classification.

• Item Type: Conference Proceedings
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Li, Professor Xin
• Authors: Li, X.
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• ISBN: 9783319392844

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